What is the Least Common Multiple of 5940 and 5949?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5940 and 5949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5940 and 5949, than apply into the LCM equation.

GCF(5940,5949) = 9
LCM(5940,5949) = ( 5940 × 5949) / 9
LCM(5940,5949) = 35337060 / 9
LCM(5940,5949) = 3926340

Least Common Multiple (LCM) of 5940 and 5949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5940 and 5949. First we will calculate the prime factors of 5940 and 5949.

Prime Factorization of 5940

Prime Factorization of 5949

Now multiplying the highest exponent prime factors to calculate the LCM of 5940 and 5949.

LCM(5940,5949) = 2² × 3³ × 5¹ × 11¹ × 661¹
LCM(5940,5949) = 3926340